Interaction of hot gas with electrons

Lets say, we have a cathode that emits electrons into the space under
field emission and create a space charge in air.There is no arching of
electrons to anode.We have hot dense gas which blow on space charge
in certain direction.What would be the most likely outcome of interaction
between neutral hot gas molecules and electrons, which create a space charge?
For example,will be electrons blown away uniformly on macroscopic distance
or more likely they will not move for any remarkable distance at all or it will
be very non-uniform interaction?